A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems
✍ Scribed by Kevin Carlberg; Charbel Farhat
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 408 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.3074
No coin nor oath required. For personal study only.
✦ Synopsis
A novel model reduction technique for static systems is presented. The method is developed using a goal-oriented framework, and it extends the concept of snapshots for proper orthogonal decomposition (POD) to include (sensitivity) derivatives of the state with respect to system input parameters. The resulting reduced-order model generates accurate approximations due to its goal-oriented construction and the explicit 'training' of the model for parameter changes. The model is less computationally expensive to construct than typical POD approaches, since efficient multiple right-hand side solvers can be used to compute the sensitivity derivatives. The effectiveness of the method is demonstrated on a parameterized aerospace structure problem.